Direct Vent Gas Water Heater Closet Very Hot

A 12 year old direct vent gas water heater was in a closet just big enough to hold it in a small condo 7 floors up. The closet had a hollow core door. It was quite hot in there. Looking from the out side there was a 4 inch square vent into the closet about 3 ft off the ground. From the inside just a two inch round fascia vent that looked clogged and bent shut. I assume that if this vent were larger the heat would dissipate but could the more serious issue be with the water heater itself? Do faulty water heaters get hotter?

Vent for Hot Hot Water Heater.jpg

Hot Hot Water Heater.jpg